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Finding the Fourth Proportional to 408.92, 610.40 and 378.84

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Solution

The fourth proportional to 408.92, 610.40 and 378.84 is: 565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.92 : 610.40 = 378.84 : x
  2. Step 2: Convert to fraction form
    408.92/610.40 = 378.84/x
  3. Step 3: Cross multiply
    408.92x = 610.40 × 378.84
  4. Step 4: Simplify right side
    408.92x = 231,243.94
  5. Step 5: Solve for x
    x = 231,243.94/408.92
  6. Step 6: Final answer
    x = 565.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.